From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: (iii) a queen of black card (iv) a card with number 5 or 6

(iii) Event of drawing a queen of black colour = {Q(spade), Q(club)} = E

So, n(E) = 2

Thus, probability of drawing a queen of black colour = n(E)/ n(S) = 2/52 = 1/26

(iv) Event of drawing a card with number 5 or 6 = E = {5H, 5D, 5S, 5C, 6H, 6D, 6S, 6C}

So, n(E) = 8

Thus, probability of drawing a card with number 5 or 6 = n(E)/ n(S) = 8/52 = 2/13